**Converting To and From Scientific Notation**

**Converting To Scientific Notation**

To Change from Standard Form to Scientific Notation:

- Place the decimal point such that there is one non-zero digit to the left of the decimal point.
- Count the number of decimal places the decimal has “moved” from the original number. This will be the exponent of the 10.
- If the original number was less than 1, the exponent is negative; if the original number was greater than 1, the exponent is positive.

**Examples:**

**Given: 4,750,000**

4.75 (moved decimal point 6 decimal places)

**Answer:**4.75 × 10^{6}

The original number was greater than 1 so the exponent is positive.**Given: 0.000789**

7.89 (moved decimal point 4 decimal places)

**Answer:**7.89 × 10^{-4}

The original number was less than 1 so the exponent is negative.

**Converting From Scientific Notation**

To Change from Scientific Notation to Standard Form:

- Move the decimal point to the right for positive exponents of 10. The exponent tells you how many places to move.
- Move the decimal point to the left for negative exponents of 10. Again, the exponent tells you how many places to move.

**Examples:**

**Given:**1.015 × 10^{-8}

**Answer:**0.00000001015 (moved decimal 8 places left)

Negative exponent moves decimal to the left.**Given:**5.024 × 10^{3}

**Answer:**5,024 (move decimal 3 places right)

Positive exponent moves decimal to the right.

**Read More About:**

- What is the meaning of Place Value and Face Value in Maths?
- What is the Place Value Chart of an Indian and International System?
- What is a Decimal Value and Place Value of Decimals?
- How do you Round to the Nearest Ten Thousand
- What is the Definition of an Equivalent Decimal
- What is the Difference between Ascending and Descending Order
- Addition and Subtraction of Decimals
- How do you Multiply and Divide Decimals?
- How do you Convert Fractions into Decimals and Vice Versa
- How do you Convert Unlike Decimals into Like Decimals